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Finding the Fourth Proportional to 770,548, 1,063,356.24 and 502,276

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Solution

The fourth proportional to 770,548, 1,063,356.24 and 502,276 is: 693,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,548 : 1,063,356.24 = 502,276 : x
  2. Step 2: Convert to fraction form
    770,548/1,063,356.24 = 502,276/x
  3. Step 3: Cross multiply
    770,548x = 1,063,356.24 × 502,276
  4. Step 4: Simplify right side
    770,548x = 534,098,318,802.24
  5. Step 5: Solve for x
    x = 534,098,318,802.24/770,548
  6. Step 6: Final answer
    x = 693,140.88

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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.