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Finding the Fourth Proportional to 530,830.40, 794,301.60 and 390,862.40

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Solution

The fourth proportional to 530,830.40, 794,301.60 and 390,862.40 is: 584,862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,830.40 : 794,301.60 = 390,862.40 : x
  2. Step 2: Convert to fraction form
    530,830.40/794,301.60 = 390,862.40/x
  3. Step 3: Cross multiply
    530,830.40x = 794,301.60 × 390,862.40
  4. Step 4: Simplify right side
    530,830.40x = 310,462,629,699.84
  5. Step 5: Solve for x
    x = 310,462,629,699.84/530,830.40
  6. Step 6: Final answer
    x = 584,862.19

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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.