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Finding the Fourth Proportional to 1,098,693.10, 1,648,039.65 and 1,021,710.70

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Solution

The fourth proportional to 1,098,693.10, 1,648,039.65 and 1,021,710.70 is: 1,532,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,693.10 : 1,648,039.65 = 1,021,710.70 : x
  2. Step 2: Convert to fraction form
    1,098,693.10/1,648,039.65 = 1,021,710.70/x
  3. Step 3: Cross multiply
    1,098,693.10x = 1,648,039.65 × 1,021,710.70
  4. Step 4: Simplify right side
    1,098,693.10x = 1,683,819,744,429.26
  5. Step 5: Solve for x
    x = 1,683,819,744,429.26/1,098,693.10
  6. Step 6: Final answer
    x = 1,532,566.05

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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.