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Finding the Fourth Proportional to 806,406,368.10, 1,208,759,246.55 and 314,929,731.30

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Solution

The fourth proportional to 806,406,368.10, 1,208,759,246.55 and 314,929,731.30 is: 472,062,523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,406,368.10 : 1,208,759,246.55 = 314,929,731.30 : x
  2. Step 2: Convert to fraction form
    806,406,368.10/1,208,759,246.55 = 314,929,731.30/x
  3. Step 3: Cross multiply
    806,406,368.10x = 1,208,759,246.55 × 314,929,731.30
  4. Step 4: Simplify right side
    806,406,368.10x = 380,674,224,722,381,952
  5. Step 5: Solve for x
    x = 380,674,224,722,381,952/806,406,368.10
  6. Step 6: Final answer
    x = 472,062,523.04

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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.