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Finding the Fourth Proportional to 257,417.46, 354,842.32 and 180,721.40

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Solution

The fourth proportional to 257,417.46, 354,842.32 and 180,721.40 is: 249,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,417.46 : 354,842.32 = 180,721.40 : x
  2. Step 2: Convert to fraction form
    257,417.46/354,842.32 = 180,721.40/x
  3. Step 3: Cross multiply
    257,417.46x = 354,842.32 × 180,721.40
  4. Step 4: Simplify right side
    257,417.46x = 64,127,600,849.65
  5. Step 5: Solve for x
    x = 64,127,600,849.65/257,417.46
  6. Step 6: Final answer
    x = 249,119.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.