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Finding the Fourth Proportional to 506,000.46, 697,828.58 and 419,823

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Solution

The fourth proportional to 506,000.46, 697,828.58 and 419,823 is: 578,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,000.46 : 697,828.58 = 419,823 : x
  2. Step 2: Convert to fraction form
    506,000.46/697,828.58 = 419,823/x
  3. Step 3: Cross multiply
    506,000.46x = 697,828.58 × 419,823
  4. Step 4: Simplify right side
    506,000.46x = 292,964,487,941.34
  5. Step 5: Solve for x
    x = 292,964,487,941.34/506,000.46
  6. Step 6: Final answer
    x = 578,980.68

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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.