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Finding the Fourth Proportional to 315,854.64, 474,030.50 and 147,288.11

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Solution

The fourth proportional to 315,854.64, 474,030.50 and 147,288.11 is: 221,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,854.64 : 474,030.50 = 147,288.11 : x
  2. Step 2: Convert to fraction form
    315,854.64/474,030.50 = 147,288.11/x
  3. Step 3: Cross multiply
    315,854.64x = 474,030.50 × 147,288.11
  4. Step 4: Simplify right side
    315,854.64x = 69,819,053,320.76
  5. Step 5: Solve for x
    x = 69,819,053,320.76/315,854.64
  6. Step 6: Final answer
    x = 221,048.05

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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.