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Finding the Fourth Proportional to 523,970.40, 785,955.60 and 144,890.40

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Solution

The fourth proportional to 523,970.40, 785,955.60 and 144,890.40 is: 217,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,970.40 : 785,955.60 = 144,890.40 : x
  2. Step 2: Convert to fraction form
    523,970.40/785,955.60 = 144,890.40/x
  3. Step 3: Cross multiply
    523,970.40x = 785,955.60 × 144,890.40
  4. Step 4: Simplify right side
    523,970.40x = 113,877,421,266.24
  5. Step 5: Solve for x
    x = 113,877,421,266.24/523,970.40
  6. Step 6: Final answer
    x = 217,335.60

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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.