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Finding the Fourth Proportional to 709,640, 979,467.76 and 467,966.24

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Solution

The fourth proportional to 709,640, 979,467.76 and 467,966.24 is: 645,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,640 : 979,467.76 = 467,966.24 : x
  2. Step 2: Convert to fraction form
    709,640/979,467.76 = 467,966.24/x
  3. Step 3: Cross multiply
    709,640x = 979,467.76 × 467,966.24
  4. Step 4: Simplify right side
    709,640x = 458,357,844,848.42
  5. Step 5: Solve for x
    x = 458,357,844,848.42/709,640
  6. Step 6: Final answer
    x = 645,901.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.