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Finding the Fourth Proportional to 575,133.76, 861,388.40 and 507,862

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Solution

The fourth proportional to 575,133.76, 861,388.40 and 507,862 is: 760,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,133.76 : 861,388.40 = 507,862 : x
  2. Step 2: Convert to fraction form
    575,133.76/861,388.40 = 507,862/x
  3. Step 3: Cross multiply
    575,133.76x = 861,388.40 × 507,862
  4. Step 4: Simplify right side
    575,133.76x = 437,466,435,600.80
  5. Step 5: Solve for x
    x = 437,466,435,600.80/575,133.76
  6. Step 6: Final answer
    x = 760,634.25

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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.