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Finding the Fourth Proportional to 735,888, 1,015,526.40 and 417,936

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Solution

The fourth proportional to 735,888, 1,015,526.40 and 417,936 is: 576,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,888 : 1,015,526.40 = 417,936 : x
  2. Step 2: Convert to fraction form
    735,888/1,015,526.40 = 417,936/x
  3. Step 3: Cross multiply
    735,888x = 1,015,526.40 × 417,936
  4. Step 4: Simplify right side
    735,888x = 424,425,041,510.40
  5. Step 5: Solve for x
    x = 424,425,041,510.40/735,888
  6. Step 6: Final answer
    x = 576,752.23

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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.