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Finding the Fourth Proportional to 528,101.72, 728,780.76 and 286,384.22

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Solution

The fourth proportional to 528,101.72, 728,780.76 and 286,384.22 is: 395,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,101.72 : 728,780.76 = 286,384.22 : x
  2. Step 2: Convert to fraction form
    528,101.72/728,780.76 = 286,384.22/x
  3. Step 3: Cross multiply
    528,101.72x = 728,780.76 × 286,384.22
  4. Step 4: Simplify right side
    528,101.72x = 208,711,309,503.61
  5. Step 5: Solve for x
    x = 208,711,309,503.61/528,101.72
  6. Step 6: Final answer
    x = 395,210.43

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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.