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Finding the Fourth Proportional to 692,980, 956,312.40 and 375,028

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Solution

The fourth proportional to 692,980, 956,312.40 and 375,028 is: 517,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,980 : 956,312.40 = 375,028 : x
  2. Step 2: Convert to fraction form
    692,980/956,312.40 = 375,028/x
  3. Step 3: Cross multiply
    692,980x = 956,312.40 × 375,028
  4. Step 4: Simplify right side
    692,980x = 358,643,926,747.20
  5. Step 5: Solve for x
    x = 358,643,926,747.20/692,980
  6. Step 6: Final answer
    x = 517,538.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.