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Finding the Fourth Proportional to 401,547.51, 602,376.75 and 135,384.12

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Solution

The fourth proportional to 401,547.51, 602,376.75 and 135,384.12 is: 203,094.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,547.51 : 602,376.75 = 135,384.12 : x
  2. Step 2: Convert to fraction form
    401,547.51/602,376.75 = 135,384.12/x
  3. Step 3: Cross multiply
    401,547.51x = 602,376.75 × 135,384.12
  4. Step 4: Simplify right side
    401,547.51x = 81,552,246,207.21
  5. Step 5: Solve for x
    x = 81,552,246,207.21/401,547.51
  6. Step 6: Final answer
    x = 203,094.89

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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.