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Finding the Fourth Proportional to 713,379.60, 1,070,420.04 and 286,898.40

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Solution

The fourth proportional to 713,379.60, 1,070,420.04 and 286,898.40 is: 430,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,379.60 : 1,070,420.04 = 286,898.40 : x
  2. Step 2: Convert to fraction form
    713,379.60/1,070,420.04 = 286,898.40/x
  3. Step 3: Cross multiply
    713,379.60x = 1,070,420.04 × 286,898.40
  4. Step 4: Simplify right side
    713,379.60x = 307,101,796,803.94
  5. Step 5: Solve for x
    x = 307,101,796,803.94/713,379.60
  6. Step 6: Final answer
    x = 430,488.62

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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.