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Finding the Fourth Proportional to 286,376.04, 429,530.40 and 76,030.20

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Solution

The fourth proportional to 286,376.04, 429,530.40 and 76,030.20 is: 114,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,376.04 : 429,530.40 = 76,030.20 : x
  2. Step 2: Convert to fraction form
    286,376.04/429,530.40 = 76,030.20/x
  3. Step 3: Cross multiply
    286,376.04x = 429,530.40 × 76,030.20
  4. Step 4: Simplify right side
    286,376.04x = 32,657,282,218.08
  5. Step 5: Solve for x
    x = 32,657,282,218.08/286,376.04
  6. Step 6: Final answer
    x = 114,036.36

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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.