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Finding the Fourth Proportional to 287,978.47, 431,938.54 and 77,637.67

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Solution

The fourth proportional to 287,978.47, 431,938.54 and 77,637.67 is: 116,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,978.47 : 431,938.54 = 77,637.67 : x
  2. Step 2: Convert to fraction form
    287,978.47/431,938.54 = 77,637.67/x
  3. Step 3: Cross multiply
    287,978.47x = 431,938.54 × 77,637.67
  4. Step 4: Simplify right side
    287,978.47x = 33,534,701,828.80
  5. Step 5: Solve for x
    x = 33,534,701,828.80/287,978.47
  6. Step 6: Final answer
    x = 116,448.64

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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.