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Finding the Fourth Proportional to 478,088.48, 660,210 and 299,551.52

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Solution

The fourth proportional to 478,088.48, 660,210 and 299,551.52 is: 413,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,088.48 : 660,210 = 299,551.52 : x
  2. Step 2: Convert to fraction form
    478,088.48/660,210 = 299,551.52/x
  3. Step 3: Cross multiply
    478,088.48x = 660,210 × 299,551.52
  4. Step 4: Simplify right side
    478,088.48x = 197,766,909,019.20
  5. Step 5: Solve for x
    x = 197,766,909,019.20/478,088.48
  6. Step 6: Final answer
    x = 413,661.73

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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.