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Finding the Fourth Proportional to 611,384.76, 842,323.10 and 473,088.15

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Solution

The fourth proportional to 611,384.76, 842,323.10 and 473,088.15 is: 651,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,384.76 : 842,323.10 = 473,088.15 : x
  2. Step 2: Convert to fraction form
    611,384.76/842,323.10 = 473,088.15/x
  3. Step 3: Cross multiply
    611,384.76x = 842,323.10 × 473,088.15
  4. Step 4: Simplify right side
    611,384.76x = 398,493,074,715.82
  5. Step 5: Solve for x
    x = 398,493,074,715.82/611,384.76
  6. Step 6: Final answer
    x = 651,787.71

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Double scale
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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.