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Finding the Fourth Proportional to 656,407.80, 982,643.40 and 390,031.20

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Solution

The fourth proportional to 656,407.80, 982,643.40 and 390,031.20 is: 583,877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,407.80 : 982,643.40 = 390,031.20 : x
  2. Step 2: Convert to fraction form
    656,407.80/982,643.40 = 390,031.20/x
  3. Step 3: Cross multiply
    656,407.80x = 982,643.40 × 390,031.20
  4. Step 4: Simplify right side
    656,407.80x = 383,261,584,474.08
  5. Step 5: Solve for x
    x = 383,261,584,474.08/656,407.80
  6. Step 6: Final answer
    x = 583,877.26

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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.