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Finding the Fourth Proportional to 278,047.80, 417,071.70 and 165,854.70

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Solution

The fourth proportional to 278,047.80, 417,071.70 and 165,854.70 is: 248,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,047.80 : 417,071.70 = 165,854.70 : x
  2. Step 2: Convert to fraction form
    278,047.80/417,071.70 = 165,854.70/x
  3. Step 3: Cross multiply
    278,047.80x = 417,071.70 × 165,854.70
  4. Step 4: Simplify right side
    278,047.80x = 69,173,301,681.99
  5. Step 5: Solve for x
    x = 69,173,301,681.99/278,047.80
  6. Step 6: Final answer
    x = 248,782.05

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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.