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Finding the Fourth Proportional to 530,806.40, 794,265.60 and 390,838.40

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Solution

The fourth proportional to 530,806.40, 794,265.60 and 390,838.40 is: 584,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,806.40 : 794,265.60 = 390,838.40 : x
  2. Step 2: Convert to fraction form
    530,806.40/794,265.60 = 390,838.40/x
  3. Step 3: Cross multiply
    530,806.40x = 794,265.60 × 390,838.40
  4. Step 4: Simplify right side
    530,806.40x = 310,429,496,279.04
  5. Step 5: Solve for x
    x = 310,429,496,279.04/530,806.40
  6. Step 6: Final answer
    x = 584,826.21

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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.