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Finding the Fourth Proportional to 553,362.60, 830,043.90 and 506,123.40

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Solution

The fourth proportional to 553,362.60, 830,043.90 and 506,123.40 is: 759,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,362.60 : 830,043.90 = 506,123.40 : x
  2. Step 2: Convert to fraction form
    553,362.60/830,043.90 = 506,123.40/x
  3. Step 3: Cross multiply
    553,362.60x = 830,043.90 × 506,123.40
  4. Step 4: Simplify right side
    553,362.60x = 420,104,640,817.26
  5. Step 5: Solve for x
    x = 420,104,640,817.26/553,362.60
  6. Step 6: Final answer
    x = 759,185.10

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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.