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Finding the Fourth Proportional to 390,520.80, 584,420.40 and 232,862.40

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Solution

The fourth proportional to 390,520.80, 584,420.40 and 232,862.40 is: 348,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,520.80 : 584,420.40 = 232,862.40 : x
  2. Step 2: Convert to fraction form
    390,520.80/584,420.40 = 232,862.40/x
  3. Step 3: Cross multiply
    390,520.80x = 584,420.40 × 232,862.40
  4. Step 4: Simplify right side
    390,520.80x = 136,089,536,952.96
  5. Step 5: Solve for x
    x = 136,089,536,952.96/390,520.80
  6. Step 6: Final answer
    x = 348,482.17

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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.