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Finding the Fourth Proportional to 611,830.16, 917,570.28 and 312,123.68

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Solution

The fourth proportional to 611,830.16, 917,570.28 and 312,123.68 is: 468,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,830.16 : 917,570.28 = 312,123.68 : x
  2. Step 2: Convert to fraction form
    611,830.16/917,570.28 = 312,123.68/x
  3. Step 3: Cross multiply
    611,830.16x = 917,570.28 × 312,123.68
  4. Step 4: Simplify right side
    611,830.16x = 286,395,412,452.23
  5. Step 5: Solve for x
    x = 286,395,412,452.23/611,830.16
  6. Step 6: Final answer
    x = 468,096.26

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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.