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Finding the Fourth Proportional to 291,701, 402,547.74 and 157,565

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Solution

The fourth proportional to 291,701, 402,547.74 and 157,565 is: 217,439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,701 : 402,547.74 = 157,565 : x
  2. Step 2: Convert to fraction form
    291,701/402,547.74 = 157,565/x
  3. Step 3: Cross multiply
    291,701x = 402,547.74 × 157,565
  4. Step 4: Simplify right side
    291,701x = 63,427,434,653.10
  5. Step 5: Solve for x
    x = 63,427,434,653.10/291,701
  6. Step 6: Final answer
    x = 217,439.89

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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.