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Finding the Fourth Proportional to 536,970.40, 805,413.44 and 312,187.50

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Solution

The fourth proportional to 536,970.40, 805,413.44 and 312,187.50 is: 468,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,970.40 : 805,413.44 = 312,187.50 : x
  2. Step 2: Convert to fraction form
    536,970.40/805,413.44 = 312,187.50/x
  3. Step 3: Cross multiply
    536,970.40x = 805,413.44 × 312,187.50
  4. Step 4: Simplify right side
    536,970.40x = 251,440,009,080.47
  5. Step 5: Solve for x
    x = 251,440,009,080.47/536,970.40
  6. Step 6: Final answer
    x = 468,256.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.