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Finding the Fourth Proportional to 1,223,287.70, 1,834,931.55 and 971,345.30

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Solution

The fourth proportional to 1,223,287.70, 1,834,931.55 and 971,345.30 is: 1,457,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,287.70 : 1,834,931.55 = 971,345.30 : x
  2. Step 2: Convert to fraction form
    1,223,287.70/1,834,931.55 = 971,345.30/x
  3. Step 3: Cross multiply
    1,223,287.70x = 1,834,931.55 × 971,345.30
  4. Step 4: Simplify right side
    1,223,287.70x = 1,782,352,136,914.22
  5. Step 5: Solve for x
    x = 1,782,352,136,914.22/1,223,287.70
  6. Step 6: Final answer
    x = 1,457,017.95

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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.