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Finding the Fourth Proportional to 319,254.48, 479,931.48 and 296,159.76

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Solution

The fourth proportional to 319,254.48, 479,931.48 and 296,159.76 is: 445,213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,254.48 : 479,931.48 = 296,159.76 : x
  2. Step 2: Convert to fraction form
    319,254.48/479,931.48 = 296,159.76/x
  3. Step 3: Cross multiply
    319,254.48x = 479,931.48 × 296,159.76
  4. Step 4: Simplify right side
    319,254.48x = 142,136,391,933.25
  5. Step 5: Solve for x
    x = 142,136,391,933.25/319,254.48
  6. Step 6: Final answer
    x = 445,213.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.