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Finding the Fourth Proportional to 685,603.74, 946,020.66 and 430,774.50

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Solution

The fourth proportional to 685,603.74, 946,020.66 and 430,774.50 is: 594,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,603.74 : 946,020.66 = 430,774.50 : x
  2. Step 2: Convert to fraction form
    685,603.74/946,020.66 = 430,774.50/x
  3. Step 3: Cross multiply
    685,603.74x = 946,020.66 × 430,774.50
  4. Step 4: Simplify right side
    685,603.74x = 407,521,576,801.17
  5. Step 5: Solve for x
    x = 407,521,576,801.17/685,603.74
  6. Step 6: Final answer
    x = 594,398.12

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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.