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Finding the Fourth Proportional to 549,813.68, 758,742.36 and 308,098.16

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Solution

The fourth proportional to 549,813.68, 758,742.36 and 308,098.16 is: 425,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,813.68 : 758,742.36 = 308,098.16 : x
  2. Step 2: Convert to fraction form
    549,813.68/758,742.36 = 308,098.16/x
  3. Step 3: Cross multiply
    549,813.68x = 758,742.36 × 308,098.16
  4. Step 4: Simplify right side
    549,813.68x = 233,767,125,030.06
  5. Step 5: Solve for x
    x = 233,767,125,030.06/549,813.68
  6. Step 6: Final answer
    x = 425,175.17

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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.