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Finding the Fourth Proportional to 712,698.32, 983,523.87 and 390,419.87

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Solution

The fourth proportional to 712,698.32, 983,523.87 and 390,419.87 is: 538,779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,698.32 : 983,523.87 = 390,419.87 : x
  2. Step 2: Convert to fraction form
    712,698.32/983,523.87 = 390,419.87/x
  3. Step 3: Cross multiply
    712,698.32x = 983,523.87 × 390,419.87
  4. Step 4: Simplify right side
    712,698.32x = 383,987,264,848.16
  5. Step 5: Solve for x
    x = 383,987,264,848.16/712,698.32
  6. Step 6: Final answer
    x = 538,779.53

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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.