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Finding the Fourth Proportional to 278,543.10, 417,814.65 and 260,828.40

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Solution

The fourth proportional to 278,543.10, 417,814.65 and 260,828.40 is: 391,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,543.10 : 417,814.65 = 260,828.40 : x
  2. Step 2: Convert to fraction form
    278,543.10/417,814.65 = 260,828.40/x
  3. Step 3: Cross multiply
    278,543.10x = 417,814.65 × 260,828.40
  4. Step 4: Simplify right side
    278,543.10x = 108,977,926,656.06
  5. Step 5: Solve for x
    x = 108,977,926,656.06/278,543.10
  6. Step 6: Final answer
    x = 391,242.60

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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.