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Finding the Fourth Proportional to 601,603.61, 830,469.11 and 405,413.10

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Solution

The fourth proportional to 601,603.61, 830,469.11 and 405,413.10 is: 559,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,603.61 : 830,469.11 = 405,413.10 : x
  2. Step 2: Convert to fraction form
    601,603.61/830,469.11 = 405,413.10/x
  3. Step 3: Cross multiply
    601,603.61x = 830,469.11 × 405,413.10
  4. Step 4: Simplify right side
    601,603.61x = 336,683,054,312.28
  5. Step 5: Solve for x
    x = 336,683,054,312.28/601,603.61
  6. Step 6: Final answer
    x = 559,642.68

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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.