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Finding the Fourth Proportional to 280,896,693.66, 420,884,925.66 and 149,599,569.06

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Solution

The fourth proportional to 280,896,693.66, 420,884,925.66 and 149,599,569.06 is: 224,154,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,896,693.66 : 420,884,925.66 = 149,599,569.06 : x
  2. Step 2: Convert to fraction form
    280,896,693.66/420,884,925.66 = 149,599,569.06/x
  3. Step 3: Cross multiply
    280,896,693.66x = 420,884,925.66 × 149,599,569.06
  4. Step 4: Simplify right side
    280,896,693.66x = 62,964,203,502,586,144
  5. Step 5: Solve for x
    x = 62,964,203,502,586,144/280,896,693.66
  6. Step 6: Final answer
    x = 224,154,306.28

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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.