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Finding the Fourth Proportional to 585,807, 808,413.75 and 317,535

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Solution

The fourth proportional to 585,807, 808,413.75 and 317,535 is: 438,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,807 : 808,413.75 = 317,535 : x
  2. Step 2: Convert to fraction form
    585,807/808,413.75 = 317,535/x
  3. Step 3: Cross multiply
    585,807x = 808,413.75 × 317,535
  4. Step 4: Simplify right side
    585,807x = 256,699,660,106.25
  5. Step 5: Solve for x
    x = 256,699,660,106.25/585,807
  6. Step 6: Final answer
    x = 438,198.35

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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.