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Finding the Fourth Proportional to 718,431.31, 991,501.73 and 412,547.77

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Solution

The fourth proportional to 718,431.31, 991,501.73 and 412,547.77 is: 569,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,431.31 : 991,501.73 = 412,547.77 : x
  2. Step 2: Convert to fraction form
    718,431.31/991,501.73 = 412,547.77/x
  3. Step 3: Cross multiply
    718,431.31x = 991,501.73 × 412,547.77
  4. Step 4: Simplify right side
    718,431.31x = 409,041,827,662.64
  5. Step 5: Solve for x
    x = 409,041,827,662.64/718,431.31
  6. Step 6: Final answer
    x = 569,354.12

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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.