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Finding the Fourth Proportional to 387,502.34, 535,014.12 and 346,539.38

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Solution

The fourth proportional to 387,502.34, 535,014.12 and 346,539.38 is: 478,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,502.34 : 535,014.12 = 346,539.38 : x
  2. Step 2: Convert to fraction form
    387,502.34/535,014.12 = 346,539.38/x
  3. Step 3: Cross multiply
    387,502.34x = 535,014.12 × 346,539.38
  4. Step 4: Simplify right side
    387,502.34x = 185,403,461,436.05
  5. Step 5: Solve for x
    x = 185,403,461,436.05/387,502.34
  6. Step 6: Final answer
    x = 478,457.66

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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.