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Finding the Fourth Proportional to 553,838.30, 830,283.55 and 212,526.66

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Solution

The fourth proportional to 553,838.30, 830,283.55 and 212,526.66 is: 318,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,838.30 : 830,283.55 = 212,526.66 : x
  2. Step 2: Convert to fraction form
    553,838.30/830,283.55 = 212,526.66/x
  3. Step 3: Cross multiply
    553,838.30x = 830,283.55 × 212,526.66
  4. Step 4: Simplify right side
    553,838.30x = 176,457,389,734.44
  5. Step 5: Solve for x
    x = 176,457,389,734.44/553,838.30
  6. Step 6: Final answer
    x = 318,608.14

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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.