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Finding the Fourth Proportional to 286,721.32, 429,813.20 and 97,048.96

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Solution

The fourth proportional to 286,721.32, 429,813.20 and 97,048.96 is: 145,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,721.32 : 429,813.20 = 97,048.96 : x
  2. Step 2: Convert to fraction form
    286,721.32/429,813.20 = 97,048.96/x
  3. Step 3: Cross multiply
    286,721.32x = 429,813.20 × 97,048.96
  4. Step 4: Simplify right side
    286,721.32x = 41,712,924,054.27
  5. Step 5: Solve for x
    x = 41,712,924,054.27/286,721.32
  6. Step 6: Final answer
    x = 145,482.46

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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.