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Finding the Fourth Proportional to 507,875.72, 700,726.68 and 400,111.29

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Solution

The fourth proportional to 507,875.72, 700,726.68 and 400,111.29 is: 552,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,875.72 : 700,726.68 = 400,111.29 : x
  2. Step 2: Convert to fraction form
    507,875.72/700,726.68 = 400,111.29/x
  3. Step 3: Cross multiply
    507,875.72x = 700,726.68 × 400,111.29
  4. Step 4: Simplify right side
    507,875.72x = 280,368,655,872.22
  5. Step 5: Solve for x
    x = 280,368,655,872.22/507,875.72
  6. Step 6: Final answer
    x = 552,041.86

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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.