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Finding the Fourth Proportional to 278,681.60, 417,973.80 and 101,097.20

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Solution

The fourth proportional to 278,681.60, 417,973.80 and 101,097.20 is: 151,628.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,681.60 : 417,973.80 = 101,097.20 : x
  2. Step 2: Convert to fraction form
    278,681.60/417,973.80 = 101,097.20/x
  3. Step 3: Cross multiply
    278,681.60x = 417,973.80 × 101,097.20
  4. Step 4: Simplify right side
    278,681.60x = 42,255,980,853.36
  5. Step 5: Solve for x
    x = 42,255,980,853.36/278,681.60
  6. Step 6: Final answer
    x = 151,628.17

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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.