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Finding the Fourth Proportional to 1,298,653,664.92, 1,947,953,205.66 and 316,085,686.04

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Solution

The fourth proportional to 1,298,653,664.92, 1,947,953,205.66 and 316,085,686.04 is: 474,121,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,653,664.92 : 1,947,953,205.66 = 316,085,686.04 : x
  2. Step 2: Convert to fraction form
    1,298,653,664.92/1,947,953,205.66 = 316,085,686.04/x
  3. Step 3: Cross multiply
    1,298,653,664.92x = 1,947,953,205.66 × 316,085,686.04
  4. Step 4: Simplify right side
    1,298,653,664.92x = 615,720,125,384,858,368
  5. Step 5: Solve for x
    x = 615,720,125,384,858,368/1,298,653,664.92
  6. Step 6: Final answer
    x = 474,121,886.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.