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Finding the Fourth Proportional to 506,075.86, 697,932.36 and 419,898.40

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Solution

The fourth proportional to 506,075.86, 697,932.36 and 419,898.40 is: 579,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,075.86 : 697,932.36 = 419,898.40 : x
  2. Step 2: Convert to fraction form
    506,075.86/697,932.36 = 419,898.40/x
  3. Step 3: Cross multiply
    506,075.86x = 697,932.36 × 419,898.40
  4. Step 4: Simplify right side
    506,075.86x = 293,060,681,272.22
  5. Step 5: Solve for x
    x = 293,060,681,272.22/506,075.86
  6. Step 6: Final answer
    x = 579,084.49

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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.