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Finding the Fourth Proportional to 530,839.40, 794,315.10 and 390,871.40

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Solution

The fourth proportional to 530,839.40, 794,315.10 and 390,871.40 is: 584,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,839.40 : 794,315.10 = 390,871.40 : x
  2. Step 2: Convert to fraction form
    530,839.40/794,315.10 = 390,871.40/x
  3. Step 3: Cross multiply
    530,839.40x = 794,315.10 × 390,871.40
  4. Step 4: Simplify right side
    530,839.40x = 310,475,055,178.14
  5. Step 5: Solve for x
    x = 310,475,055,178.14/530,839.40
  6. Step 6: Final answer
    x = 584,875.68

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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.