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Finding the Fourth Proportional to 257,411.95, 354,834.74 and 180,715.88

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Solution

The fourth proportional to 257,411.95, 354,834.74 and 180,715.88 is: 249,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,411.95 : 354,834.74 = 180,715.88 : x
  2. Step 2: Convert to fraction form
    257,411.95/354,834.74 = 180,715.88/x
  3. Step 3: Cross multiply
    257,411.95x = 354,834.74 × 180,715.88
  4. Step 4: Simplify right side
    257,411.95x = 64,124,272,293.67
  5. Step 5: Solve for x
    x = 64,124,272,293.67/257,411.95
  6. Step 6: Final answer
    x = 249,111.48

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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.