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Finding the Fourth Proportional to 425,642.48, 583,127.80 and 409,688.72

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Solution

The fourth proportional to 425,642.48, 583,127.80 and 409,688.72 is: 561,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,642.48 : 583,127.80 = 409,688.72 : x
  2. Step 2: Convert to fraction form
    425,642.48/583,127.80 = 409,688.72/x
  3. Step 3: Cross multiply
    425,642.48x = 583,127.80 × 409,688.72
  4. Step 4: Simplify right side
    425,642.48x = 238,900,881,978.42
  5. Step 5: Solve for x
    x = 238,900,881,978.42/425,642.48
  6. Step 6: Final answer
    x = 561,271.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.