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Finding the Fourth Proportional to 390,421.40, 584,336.10 and 283,501.40

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Solution

The fourth proportional to 390,421.40, 584,336.10 and 283,501.40 is: 424,311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,421.40 : 584,336.10 = 283,501.40 : x
  2. Step 2: Convert to fraction form
    390,421.40/584,336.10 = 283,501.40/x
  3. Step 3: Cross multiply
    390,421.40x = 584,336.10 × 283,501.40
  4. Step 4: Simplify right side
    390,421.40x = 165,660,102,420.54
  5. Step 5: Solve for x
    x = 165,660,102,420.54/390,421.40
  6. Step 6: Final answer
    x = 424,311.02

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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.