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Finding the Fourth Proportional to 660,989.42, 991,307.01 and 286,923.50

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Solution

The fourth proportional to 660,989.42, 991,307.01 and 286,923.50 is: 430,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,989.42 : 991,307.01 = 286,923.50 : x
  2. Step 2: Convert to fraction form
    660,989.42/991,307.01 = 286,923.50/x
  3. Step 3: Cross multiply
    660,989.42x = 991,307.01 × 286,923.50
  4. Step 4: Simplify right side
    660,989.42x = 284,429,276,883.74
  5. Step 5: Solve for x
    x = 284,429,276,883.74/660,989.42
  6. Step 6: Final answer
    x = 430,308.37

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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.