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Finding the Fourth Proportional to 402,465.70, 603,698.55 and 260,748.10

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Solution

The fourth proportional to 402,465.70, 603,698.55 and 260,748.10 is: 391,122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,465.70 : 603,698.55 = 260,748.10 : x
  2. Step 2: Convert to fraction form
    402,465.70/603,698.55 = 260,748.10/x
  3. Step 3: Cross multiply
    402,465.70x = 603,698.55 × 260,748.10
  4. Step 4: Simplify right side
    402,465.70x = 157,413,249,885.26
  5. Step 5: Solve for x
    x = 157,413,249,885.26/402,465.70
  6. Step 6: Final answer
    x = 391,122.15

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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.