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Finding the Fourth Proportional to 257,658, 355,447.08 and 182,248.08

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Solution

The fourth proportional to 257,658, 355,447.08 and 182,248.08 is: 251,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,658 : 355,447.08 = 182,248.08 : x
  2. Step 2: Convert to fraction form
    257,658/355,447.08 = 182,248.08/x
  3. Step 3: Cross multiply
    257,658x = 355,447.08 × 182,248.08
  4. Step 4: Simplify right side
    257,658x = 64,779,547,871.61
  5. Step 5: Solve for x
    x = 64,779,547,871.61/257,658
  6. Step 6: Final answer
    x = 251,416.79

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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.