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Finding the Fourth Proportional to 286,478.40, 429,717.60 and 166,412.10

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Solution

The fourth proportional to 286,478.40, 429,717.60 and 166,412.10 is: 249,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,478.40 : 429,717.60 = 166,412.10 : x
  2. Step 2: Convert to fraction form
    286,478.40/429,717.60 = 166,412.10/x
  3. Step 3: Cross multiply
    286,478.40x = 429,717.60 × 166,412.10
  4. Step 4: Simplify right side
    286,478.40x = 71,510,208,222.96
  5. Step 5: Solve for x
    x = 71,510,208,222.96/286,478.40
  6. Step 6: Final answer
    x = 249,618.15

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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.