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Finding the Fourth Proportional to 1,223,524.70, 1,835,287.05 and 971,582.30

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Solution

The fourth proportional to 1,223,524.70, 1,835,287.05 and 971,582.30 is: 1,457,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,524.70 : 1,835,287.05 = 971,582.30 : x
  2. Step 2: Convert to fraction form
    1,223,524.70/1,835,287.05 = 971,582.30/x
  3. Step 3: Cross multiply
    1,223,524.70x = 1,835,287.05 × 971,582.30
  4. Step 4: Simplify right side
    1,223,524.70x = 1,783,132,413,199.22
  5. Step 5: Solve for x
    x = 1,783,132,413,199.22/1,223,524.70
  6. Step 6: Final answer
    x = 1,457,373.45

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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.